High-Energy String Scattering Amplitudes and Signless Stirling Number Identity [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We give a complete proof of a set of identities (7) proposed recently from calculation of high-energy string scattering amplitudes. These identities allow one to extract ratios among high-energy string scattering amplitudes in the fixed angle regime from
Jen-Chi Lee, Catherine H. Yan, Yi Yang
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The Relation between the Probability of Collision-Free Broadcast Transmission in a Wireless Network and the Stirling Number of the Second Kind [PDF]
Mathematics, 2018 The broadcast performance of the 802.11 wireless protocol depends on several factors. One of the important factor is the number of nodes simultaneously contending for the shared channel.
Prakash Veeraraghavan Golnar Khomami +2 more
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From Beale Number to Pole Placement Design of a Free Piston Stirling Engine [PDF]
Archive of Mechanical Engineering, 2017 In this paper, pole placement-based design and analysis of a free piston Stirling engine (FPSE) is presented and compared to the well-defined Beale number design technique.
Zare Shahryar +2 more
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New Proof of the Property of Stirling Number Based on Fubini Polynomials [PDF]
Journal of MathematicsThe main purpose of this article is using the elementary methods and the properties of the Fubini polynomials to study the congruence properties of a signless Stirling number of the first kind and solve a conjecture proposed by J. H. Zhao and Z. Y. Chen.
Li Wang, Xiaoge Liu
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Numerical simulation of stages number influence to the characteristics of a looped tube thermoacoustic Stirling engine [PDF]
Известия Саратовского университета. Новая серия: Физика, 2021 Background and Objectives: The traveling wave thermoacoustic engine is a variation of the Stirling engine family. With an increase in the number of stages of a traveling wave thermoacoustic engine from one to four, an improvement in the characteristics ...
Gorshkov, Ilya Borisovich +1 more
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A Comprehensive Review on Stirling Engines [PDF]
Engineering Perspective, 2023 Stirling engines work with all kinds of heat sources thanks to the external heat supply. It has many advantages over internal combustion engines, especially in terms of noise emissions and pollutant emissions.
Turan Alp Arslan, Tolga Kocakulak
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Understanding Vaccine Hesitancy in Vietnamese Fish Farmers
Antibiotics, 2022 (1) Background: Antibiotic (AB) usage in food animals is a significant contributor to antimicrobial resistance (AMR). Vaccination can reduce the over-use of AB treatment.
Julie A. Chambers +5 more
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Vector weighted Stirling numbers and an application in graph theory
Electronic Journal of Graph Theory and Applications, 2021 We introduce \textit{vector weighted Stirling numbers}, which are a generalization of ordinary Stirling numbers and restricted Stirling numbers. Some relations between vector weighted Stirling numbers and ordinary Stirling numbers and some of their ...
Fahimeh Esmaeeli +2 more
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Some identities involving degenerate Stirling numbers arising from normal ordering
AIMS Mathematics, 2022 In this paper, we derive some identities and recurrence relations for the degenerate Stirling numbers of the first kind and of the second kind, which are degenerate versions of the ordinary Stirling numbers of the first kind and of the second kind.
Taekyun Kim, Dae San Kim , Hye Kyung Kim
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Degenerate r-truncated Stirling numbers
AIMS Mathematics, 2023 For any positive integer $ r $, the $ r $-truncated (or $ r $-associated) Stirling number of the second kind $ S_{2}^{(r)}(n, k) $ enumerates the number of partitions of the set $ \{1, 2, 3, \dots, n\} $ into $ k $ non-empty disjoint subsets, such that ...
Taekyun Kim, Dae San Kim, Jin-Woo Park
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